Hi to all,
I'm trying to find a general formula for the taylor expansion around 0 of
ln(cos(x))
I know how to get the first terms yet no general formula for the series that i get
does anyone know how to do it?
Thanks, Lior
If you start with the Taylor series for $\displaystyle \tan x$
$\displaystyle \sum_{n=1}^{\infty}B_{2n} \frac{(-4)^n \left( 1 - 4^n\right)}{(2n)!}\, x^{2n-1}$ where $\displaystyle B_{2n}$ are the Bernoulli numbers (see Taylor series - Wikipedia, the free encyclopedia)
then you can integrate term by term.